The trend is towards low/no growth, but it's not there yet because of the current growth in some developing countries as you mention.

People need to recognize that this is, currently, just a trend, and not yet a fact and certainly not a physical law. For example, large families are correlated with religious fundamentalism, which is rising. Could it rise to the point where the trend changes? It is possible.

Family size is generally going down everywhere, also in religious countries. Population growth is mainly because we live longer.

It's not a physical law, but still pretty well understood phenomenon: more likely your offsprings are going to survive, less likely you are going breed more of them.

Rosling also claimed that population growth projections have been very accurate for decades.

As "we" have fewer children and "they" continue to have more children, I'm not sure where the future is headed. I'm not saying Idiocracy levels but you have to wonder if the video is correct.

For example, what is erdogan thinking when he says Turks should have five or more children? I'd love to be able to read what's going on in people's heads. Personally, I couldn't give two (insert expletive) if my "culture and heritage" were to disappear or dissolve I to something new in fifty or a hundred years.